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Finding the Fourth Proportional to 1,205.63, 1,807.73 and 589.15

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Solution

The fourth proportional to 1,205.63, 1,807.73 and 589.15 is: 883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.63 : 1,807.73 = 589.15 : x
  2. Step 2: Convert to fraction form
    1,205.63/1,807.73 = 589.15/x
  3. Step 3: Cross multiply
    1,205.63x = 1,807.73 × 589.15
  4. Step 4: Simplify right side
    1,205.63x = 1,065,016.66
  5. Step 5: Solve for x
    x = 1,065,016.66/1,205.63
  6. Step 6: Final answer
    x = 883.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.